What is the Greatest Common Factor of 91875 and 91882?

Greatest common factor (GCF) of 91875 and 91882 is 7.

GCF(91875,91882) = 7

We will now calculate the prime factors of 91875 and 91882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91875 and 91882.

How to find the GCF of 91875 and 91882?

We will first find the prime factorization of 91875 and 91882. After we will calculate the factors of 91875 and 91882 and find the biggest common factor number .

Step-1: Prime Factorization of 91875

Prime factors of 91875 are 3, 5, 7. Prime factorization of 91875 in exponential form is:

91875 = 3¹ × 5⁴ × 7²

Step-2: Prime Factorization of 91882

Prime factors of 91882 are 2, 7, 6563. Prime factorization of 91882 in exponential form is:

91882 = 2¹ × 7¹ × 6563¹

Step-3: Factors of 91875

List of positive integer factors of 91875 that divides 91875 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 125, 147, 175, 245, 375, 525, 625, 735, 875, 1225, 1875, 2625, 3675, 4375, 6125, 13125, 18375, 30625

Step-4: Factors of 91882

List of positive integer factors of 91882 that divides 91875 without a remainder.

1, 2, 7, 14, 6563, 13126, 45941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91875 and 91882. The biggest common factor number is the GCF number.
So the greatest common factor 91875 and 91882 is 7.

Also check out the Least Common Multiple of 91875 and 91882